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Journal ArticleDOI

The Stress Distribution in an Infinite Anisotropic Plate with Co-Linear Cracks

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TLDR
In this article, a general solution of the plane problem of a finite number of co-linear cracks in an anisotropic material is presented by reducing the problem to four very simple Riemann-Hilbert problems.
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This article is published in International Journal of Solids and Structures.The article was published on 1975-04-01. It has received 43 citations till now. The article focuses on the topics: Stress intensity factor.

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Citations
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Journal ArticleDOI

Stress intensity factors and COD in an orthotropic strip

TL;DR: In this article, the elasticity problem for an orthotropic strip or a beam with an internal or an edge crack under general loading conditions is considered and numerical results are given for four basic loading conditions, namely, uniform tension, pure bending, three point bending, and concentrated surface shear loading.
Journal ArticleDOI

Mode I Crack Problem in an Inhomogeneous Orthotropic Medium

TL;DR: In this paper, the authors formulated the mode I crack problem for the inhomogeneous orthotropic plane and obtained the solution for various loading conditions and material parameters, including stiffness, stiffness ratio, and shear parameter.
Journal ArticleDOI

The mixed mode crack problem in an inhomogeneous orthotropic medium

TL;DR: In this article, the authors considered the mixed-mode crack problem in plane elasticity for a graded and oriented material, where the material property grading is intentional, whereas the property orientation or orthotropy is usually the consequence of material processing.
Journal ArticleDOI

The problem of internal and edge cracks in an orthotropic strip

TL;DR: In this article, the authors considered the plane elastostatic problem of internal and edge cracks in an infinite orthotropic strip and formulated the problems for the material types I and II in terms of singular integral equations.
Journal ArticleDOI

Stress intensity factors for anisotropic compact-tension specimens with inclined cracks

TL;DR: In this article, a boundary integral equation (BIE) technique has been applied for modeling compact-tension specimens of a Ni-based superalloy single crystal with an inclined crack, which allows explicit calculations of the K I and K II stress intensity factors for the inclined crack from the boundary condition data.
References
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Journal ArticleDOI

On cracks in rectilinearly anisotropic bodies

TL;DR: In this paper, the general equations for crack-tip stress fields in anisotropic bodies are derived making use of a complex variable approach and stress intensity factors, which permit concise representation of the conditions for crack extension, are defined and evaluated directly from stress functions.
Book ChapterDOI

Stress Analysis of Cracks

TL;DR: Elastic stress analyses of cracked bodies represented by stress intensity factor method - fracture mechanics as discussed by the authors, and fracture mechanics are used for fracture mechanics. But they are not suitable for fracture analysis.

Mathematical theories of brittle fracture.

H. Liebowitz, +1 more
TL;DR: In this article, the authors studied the strain energy for two and three dimensional crack systems subjected to varying loads, detailing loading and crack geometry effects on fracture criterion, and showed that crack geometry and crack loading effects affect fracture performance.